Research Article

Determinant Efficiencies in Ill-Conditioned Models

Table 4

Generalized variances and Vector Alienation Coefficients between designated subsets for Hartley’s [39] 𝑆 𝐢 𝐷 in π‘˜ = 3 regressors.

 𝐺 𝑉 ( 𝜷 ) Μ‚ 𝛽 𝐺 𝑉 ( 0 )  𝜷 𝐺 𝑉 ( 𝑀 ) 𝜸 ( 0 ∢ 𝐿 𝑄 𝐼 ) ) = ( 1 βˆ’ 𝜌 2 1 )
74.4216 10.0000 81.8638 0.090909

 𝜷 𝐺 𝑉 ( 𝑀 )  𝜷 𝐺 𝑉 ( 𝐿 )  𝜷 𝐺 𝑉 ( 𝑄 ,  𝜷 𝐼 ) 𝛾 ( 𝐿 ∢ 𝑄 𝐼 ) = Ξ  π‘Ÿ 𝑖 = 1 ( 1 βˆ’ 𝜌 2 𝑖 )
81.8638 4.6296 81.8638 0.216000

 𝜷 𝐺 𝑉 ( 𝑄 ,  𝜷 𝐼 )  𝜷 𝐺 𝑉 ( 𝑄 )  𝜷 𝐺 𝑉 ( 𝐼 ) 𝜸 ( 𝑄 ∢ 𝐼 ) = Ξ  π‘Ÿ 𝑖 = 1 ( 1 βˆ’ 𝜌 2 𝑖 )
81.8638 1.1317 72.3379 1.000000